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给出系统运动方程的两种形式，研究系统的代数表示和几何表示，证明对所有系统都有相容代数结构，并且具有Ｌｉｅ容许代数结构和辛容许几何结构．
Two forms of system equations of motion are given. Algebraic representations and geometric representations of the system are studied. The system is proved to have compatible algebraic structure for all systems and has Lie permitting algebraic structures and Symplectic allowable geometries.